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Publications Influence

Linear and Nonlinear Inverse Problems with Practical Applications

- J. Mueller, S. Siltanen
- Computer Science, Mathematics
- Computational science and engineering
- 31 October 2012

TLDR

291 19- PDF

Discretization-invariant Bayesian inversion and Besov space priors

- Matti Lassas. Eero Saksman, S. Siltanen
- Mathematics
- 27 January 2009

Bayesian solution of an inverse problem for indirect measurement $M = AU + {\mathcal{E}}$ is considered, where $U$ is a function on a domain of $R^d$. Here $A$ is a smoothing linear operator and $… Expand

121 16- PDF

An implementation of the reconstruction algorithm of A Nachman for the 2 D inverse conductivity problem

- S. Siltanen, J. Mueller, D. Isaacson
- 2000

The 2D inverse conductivity problem requires one to determine the unknown electrical conductivity distribution inside a bounded domain ⊂ R from knowledge of the Dirichletto-Neumann map. The problem… Expand

167 9- PDF

Can one use total variation prior for edge-preserving Bayesian inversion?

- M. Lassas, S. Siltanen
- Mathematics
- 6 August 2004

Estimation of non-discrete physical quantities from indirect linear measurements is considered. Bayesian solution of such an inverse problem involves discretizing the problem and expressing available… Expand

103 9- PDF

REGULARIZED D-BAR METHOD FOR THE INVERSE CONDUCTIVITY PROBLEM

- K. Knudsen, M. Lassas, J. Mueller, S. Siltanen
- Mathematics
- 1 October 2009

A strategy for regularizing the inversion procedure for the two-dimensional D-bar reconstruction algorithm
based on the global uniqueness proof of Nachman [Ann. Math. 143 (1996)] for the ill-posed… Expand

134 6- PDF

Numerical solution method for the dbar-equation in the plane

- K. Knudsen, J. Mueller, S. Siltanen
- Mathematics
- 10 August 2004

A fast method for solving ∂--equations of the form ∂-v = Tv- is presented, where v and T are complex-valued functions of two real variables. The multigrid method of Vainikko [Int. Soc. Anal. Appl.… Expand

75 6- PDF

D-Bar Method for Electrical Impedance Tomography with Discontinuous Conductivities

- K. Knudsen, M. Lassas, J. Mueller, S. Siltanen
- Mathematics, Computer Science
- SIAM J. Appl. Math.
- 13 April 2007

TLDR

68 5- PDF

Mapping Properties of the Nonlinear Fourier Transform in Dimension Two

- M. Lassas, J. Mueller, S. Siltanen
- Mathematics
- 11 April 2007

A class of compactly supported Schrödinger potentials in dimension two is given for which the inverse scattering method related to the Novikov–Veselov evolution equation is well-defined. There is no… Expand

30 5

Reconstructions of chest phantoms by the D-bar method for electrical impedance tomography

- D. Isaacson, J. Mueller, J. Newell, S. Siltanen
- Materials Science, Computer Science
- IEEE Transactions on Medical Imaging
- 6 July 2004

TLDR

137 4- PDF

Direct Reconstructions of Conductivities from Boundary Measurements

- J. Mueller, S. Siltanen
- Computer Science, Mathematics
- SIAM J. Sci. Comput.
- 1 April 2002

TLDR

108 4- PDF